Question:
If the lines given by 3x + 2ky = 2 and 3x + 5y = −1 are parallel, then the value of k is:
यदि 3x + 2ky = 2 और 3x + 5y = −1 द्वारा दी गई रेखाएं समानांतर हैं, तो k का मान है:
Options:
- a) 2/5
- b) 5/2
- c) 3/2
- d) 1/2
- a) 2/5
- b) 5/2
- c) 3/2
- d) 1/2
correct answer : b)
Explanation:
For parallel lines, a1/a2 = b1/b2. So, 3/3 = 2k/5 => 1 = 2k/5 => k = 5/2.
समानांतर रेखाओं के लिए, a1/a2 = b1/b2. इसलिए, 3/3 = 2k/5 => 1 = 2k/5 => k = 5/2.